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A friend of mine works at a local outdoor market and freshly-squeezes lemon to sell lemonade. She mixes the fresh lemon juice with a sugar-water mixture to create the drink. She wants to be able to tell the customers how much sugar is in each drink.

Since I am somewhat good at math, she asked me to do the calculation.

She basically wants to know how many ounces of sugar are in each 1 oz of water (actually the sugar-water mixture). Then she'll just convert that to grams and multiply based on the size of the drink.

Basically what she does, is she mixes 5 lbs of sugar with 4 gallons of water.

So after that's combined, how much sugar is in each OUNCE of the liquid ?

I came up with .16 of an ounce of sugar, per 1 oz of the liquid.

Or converting the sugar to grams, I get 4 grams of sugar, per each ONE OUNCE of the water mixture.

Let me know what you come up with it. If you come up with a different answer than I did, I'll go ahead and show how I came up with my total, and you do the same.

Note that this is BEFORE the lemon juice is added, so the liquid is simply the sugar-water mixture. I also realize that there is fruit sugar in lemons, so the total sugar in the drink when the lemon juice is added will actually be greater. But for the sake of simplicity, let's disregard that element.

ALSO NOTE : I just realized that if you add 5 lbs of sugar to 4 gallons of water, even though the sugar dissolves, the sheer volume of the dissolved sugar must actually increase the total liquid mixture amount to more than 4 gallons, does it not ?

Follow me so far ?

Since I am somewhat good at math, she asked me to do the calculation.

She basically wants to know how many ounces of sugar are in each 1 oz of water (actually the sugar-water mixture). Then she'll just convert that to grams and multiply based on the size of the drink.

Basically what she does, is she mixes 5 lbs of sugar with 4 gallons of water.

So after that's combined, how much sugar is in each OUNCE of the liquid ?

I came up with .16 of an ounce of sugar, per 1 oz of the liquid.

Or converting the sugar to grams, I get 4 grams of sugar, per each ONE OUNCE of the water mixture.

Let me know what you come up with it. If you come up with a different answer than I did, I'll go ahead and show how I came up with my total, and you do the same.

Note that this is BEFORE the lemon juice is added, so the liquid is simply the sugar-water mixture. I also realize that there is fruit sugar in lemons, so the total sugar in the drink when the lemon juice is added will actually be greater. But for the sake of simplicity, let's disregard that element.

ALSO NOTE : I just realized that if you add 5 lbs of sugar to 4 gallons of water, even though the sugar dissolves, the sheer volume of the dissolved sugar must actually increase the total liquid mixture amount to more than 4 gallons, does it not ?

**, then would it be more accurate to find out how much the liquid mixture increases by, and use that figure, for all subsequent calculations, as opposed to the original "4 Gallon Liquid Amount" ?***And if so*Follow me so far ?

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